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Finding the Fourth Proportional to 724.14, 998.90 and 458.09

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Solution

The fourth proportional to 724.14, 998.90 and 458.09 is: 631.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.14 : 998.90 = 458.09 : x
  2. Step 2: Convert to fraction form
    724.14/998.90 = 458.09/x
  3. Step 3: Cross multiply
    724.14x = 998.90 × 458.09
  4. Step 4: Simplify right side
    724.14x = 457,583.81
  5. Step 5: Solve for x
    x = 457,583.81/724.14
  6. Step 6: Final answer
    x = 631.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.